Math, asked by asia2089172, 9 months ago

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Why is partitioning a directed line segment into a ratio of 1:3, not the same as finding the length of the directed line segment?

The ratio given is part to whole, but fractions compare part to part.

The ratio given is part of the part. The total number of parts in the whole is 3 – 1 = 2.

The ratio given is part of the part. The total number of parts in the whole is 1 + 3 = 4.

The ratio given is part to whole, but the associated fraction is.

Answers

Answered by jefferson7
3

Why is partitioning a directed line segment into a ratio of 1:3, not the same as finding the length of the directed line segment?

The ratio given is part to whole, but fractions compare part to part.

The ratio given is part of the part. The total number of parts in the whole is 3 – 1 = 2.

The ratio given is part of the part. The total number of parts in the whole is 1 + 3 = 4.

The ratio given is part to whole, but the associated fraction is

Step-by-step explanation:

The length of the directed line segment is partitioned into the ratio of  1:3 is  not similar  as the one third length of the directed line segment.

The ratio is the quantitative relation between the two different things.

the directed line segment is partitioned in the ratio of  1:3  

The directed line segment is partitioned in the ratio of  1:3 .

The first part is prior to the desired point and 3 parts are after the desired point.

Therefore there are total 4 shares as it contains four pieces.

The one third length of the directed line segment means there are three shares of equal size.

Step 3:

We can take an hypothetical  length of the cloth as  12 cm.

Now  we divide the cloth into the ratio of 1:3 .

1/4 * 12 = 3   (first part)

3/4 * 12 = 9  (second part)

therefore, the cloth is divided in the ratio of     1:3 as 3cm and 9cm  . 

Now divide the cloth equally in three parts that is   of the cloth.

1/3 * 12  

∴, the cloth is divided into one third as

Thus, it we have proven it above

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